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Introduction to Quadratic Equations

Introduction to Quadratic Equations

Author: Anthony Varela

This lesson covers an introduction to quadratic equations.

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Terms to Know

the shape of a quadratic equation on a graph; it is symmetric at the vertex


a second degree polynomial, with an x-squared term as its highest degree term

Vertex (of a parabola)

the maximum or minimum point of a parabola located on the axis of symmetry

Formulas to Know
Factored Form of a Quadratic Equation

y equals a left parenthesis x minus x subscript 1 right parenthesis left parenthesis x minus x subscript 2 right parenthesis

Quadratic Formula

x equals fraction numerator negative b plus-or-minus square root of b squared minus 4 a c end root over denominator 2 a end fraction

Standard Form of a Quadratic Equation

y equals a x squared plus b x plus c

Vertex Form of a Quadratic Equation

y equals a open parentheses x minus h close parentheses squared plus k